Page 121 - Mathematics_Form_Two

Exponents and radicals

12. Simplify each of the following: m+ 2 m
mn 2 (g) 5 + 5
4
(a) 35 − m 5 m
×
2
mn 4002 4000
16a 5 (h) 3 −3 +8
(b) 3 4000 +1
4a 3 14. Solve each of the following
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( ) 2 equations.
3
2r
(c)
(2 )r 3 (a) 8 × x 4 x− 2 = 1
2 −
−
3
23
(d) 24ab ÷ 3a b (b) 9 − 2m+ 1 − 3 = 4 0 Mathematics for Secondary Schools
2
8
27xy 4 ( 4x y 2 ) 2 (c) 3 + r 3 r+ 2 = 90
(e) 2 × 2 r r
( 2xy 2 ) (3 )xy (d) (5 − 125 )(2 − 16 ) 0=
5 4
25
(8ab )(3a b ) 3 (e) 2 n+ 4 = 0.025
(f) 3 (f) 3 s − 2 2s− 3 = 1
(9ab 2 )(2ab )  27  p− 1  25  2 p+ 1
5
(g) 2 × 9 − 2 (g)   125   =   9  
3
−
27 × 8 − 4 2a+ 3 a
92 = −
3
( ) (2x y 3 xy ) − 2 (h) 2 −× 1
(h) (i) 9 − x 12 3 x = 0
( ) 27+
4
4xy − 5
−
1 2 7
x
x
13. Evaluate each of the following (j) 49 += ( )
expressions.
15. Solve each of the following
2 m− 1 − 2 m− 2 equations for the unknown
(a)
2 m− 1 − 2 m+ 2 parameter:
3 10 x+ × 27 3x− 4 (a) a+ 19=
(b)
3 7x (b) 30 b = b−
3 125× r+ 1 +× 3r− 1 (c) 5c+ 11 4 10+ =
9 5
(c)
5 125
8 5× 3r −× r
(d) d + 1+ d − 5 = 8
27 × 3n 3 × 5 3 2n
(d) 16. Factorise the following exponential
93× 11n × 3 − 2n
expression
7 n− 2 + 7 n
(e) (a) 4 + 9(2 )+18
x
x
37× n +× n
4 7
x
( ) 5 7−×
(b) 9 + 43 x x
4 × 5 6 × 4 12 3
(f) (c)
x
3
30 × 3 6 49 −7 x+1 +12
115
Student's Book Form Two
11/10/2024 20:12:43
MATHEMATIC F2 v5.indd 115 11/10/2024 20:12:43
MATHEMATIC F2 v5.indd 115